Bronk Ramsey 2009 - Bayesian Analysis of Radiocarbon Dates
Routing Summary
This folder captures Bronk Ramsey (2009), Bayesian analysis of radiocarbon dates (Radiocarbon 51(1):337-360). 6 notes including the overview.
- Whole-paper map and the span-prior warning? → Bronk Ramsey 2009 - Bayesian Analysis of Radiocarbon Dates - Overview
- Need the calibration likelihood Eq. 9 and multimodal calendar posteriors? → Bronk Ramsey 2009 - Calibration Likelihood and the Calibration Curve
- Need order constraints, the span problem and uniform phase? → Bronk Ramsey 2009 - Order Constraints and the Uniform Phase Prior
- Need ramped/exponential/normal groups, multiphase models, cross-references? → Bronk Ramsey 2009 - Other Group Priors Multiphase Models and Cross-Referencing
- Need deposition models, tree-ring wiggle matching, Bchron context? → Bronk Ramsey 2009 - Deposition Models and Sequences
- Need MCMC, HPD ranges, simulation checks, agreement indices, outliers? → Bronk Ramsey 2009 - MCMC Outputs Diagnostics and Agreement Indices
Concept Map
| Concept | Note | Type | Depends On | Key Result |
|---|---|---|---|---|
| Bayes for chronologies | Bronk Ramsey 2009 - Calibration Likelihood and the Calibration Curve | definition | - | calendar info = likelihood, relative info = prior |
| Calibration equation | Bronk Ramsey 2009 - Calibration Likelihood and the Calibration Curve | theorem | curve prior | Eq. 9 convolves measurement and curve variances |
| Span problem | Bronk Ramsey 2009 - Order Constraints and the Uniform Phase Prior | theorem | flat prior | span prior |
| Uniform phase | Bronk Ramsey 2009 - Order Constraints and the Uniform Phase Prior | definition | span problem | |
| Group priors and multiphase | Bronk Ramsey 2009 - Other Group Priors Multiphase Models and Cross-Referencing | definition | uniform phase | ramp, exponential, normal; contiguous/hiatus |
| Deposition models | Bronk Ramsey 2009 - Deposition Models and Sequences | concept | groups | defined rate has one free variable |
| Agreement index | Bronk Ramsey 2009 - MCMC Outputs Diagnostics and Agreement Indices | definition | posterior |
Notes
- Bronk Ramsey 2009 - Bayesian Analysis of Radiocarbon Dates - Overview — CONTAINS: question, contribution, Source Map, motivating example E39.
- Bronk Ramsey 2009 - Calibration Likelihood and the Calibration Curve — CONTAINS: timescale, Eqs. 1-11, calibration derivation, HPD ranges, multimodal toy example, grid-sum PyMC sketch.
- Bronk Ramsey 2009 - Order Constraints and the Uniform Phase Prior — CONTAINS: Eqs. 12-16, span problem theorem, uniform phase, simulation of span bias.
- Bronk Ramsey 2009 - Other Group Priors Multiphase Models and Cross-Referencing — CONTAINS: Eqs. 17-31, group priors, multiphase, refinements, cross-reference, Stonehenge example.
- Bronk Ramsey 2009 - Deposition Models and Sequences — CONTAINS: Eq. 32, deposition-model catalogue, Bchron note, wiggle-match sketch.
- Bronk Ramsey 2009 - MCMC Outputs Diagnostics and Agreement Indices — CONTAINS: MCMC, outputs, Eqs. 33-39 agreement indices, simulations, outliers, limits.
Sources
- Bronk Ramsey 2009 - Bayesian Analysis of Radiocarbon Dates - Bronk Ramsey C (2009), Radiocarbon 51(1):337-360, 24 pages (open copy via Cambridge Core).